{"id":849,"date":"2019-11-20T14:07:21","date_gmt":"2019-11-20T14:07:21","guid":{"rendered":"https:\/\/iheart.polimi.it\/en\/?p=849"},"modified":"2025-02-21T08:51:25","modified_gmt":"2025-02-21T08:51:25","slug":"a-monolithic-algorithm-for-the-simulation-of-cardiac-electromechanics-in-the-human-left-ventricle","status":"publish","type":"post","link":"https:\/\/iheart.polimi.it\/en\/it\/a-monolithic-algorithm-for-the-simulation-of-cardiac-electromechanics-in-the-human-left-ventricle\/","title":{"rendered":"A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle"},"content":{"rendered":"\n<p><em>A. Gerbi, L. Dede&#8217;, A. Quarteroni<\/em><\/p>\n\n\n\n<p><strong>Mathematics in Engineering<\/strong>, 2018, 1(1): 1-37<\/p>\n\n\n\n<p>Open Access: <a href=\"https:\/\/www.aimspress.com\/article\/10.3934\/Mine.2018.1.1\">https:\/\/www.aimspress.com\/article\/10.3934\/Mine.2018.1.1<\/a><br>DOI: <a href=\"https:\/\/doi.org\/10.3934\/Mine.2018.1.1\">https:\/\/doi.org\/10.3934\/Mine.2018.1.1<\/a><\/p>\n\n\n\n<p><strong>Abstract:<\/strong><\/p>\n\n\n\n<p>In\n this paper, we propose a monolithic algorithm for the numerical \nsolution of the electromechanics model of the left ventricle in the \nhuman heart. Our coupled model integrates the monodomain equation with \nthe Bueno-Orovio minimal model for electrophysiology and the \nHolzapfel-Ogden constitutive law for the passive mechanics of the \nmyocardium; a distinguishing feature of our electromechanics model is \nthe use of the active strain formulation for muscle contraction, which \nwe exploit \u2013 for the first time in this context \u2013 by means of a \ntransmurally variable active strain formulation. We use the Finite \nElement method for space discretization and Backward Differentiation \nFormulas for time discretization, which we consider for both implicit \nand semi-implicit schemes. We compare and discuss the two schemes in \nterms of computational efficiency as the semi-implicit scheme poses \nsignificant restrictions on the timestep size due to stability \nconsiderations, while the implicit scheme yields instead a nonlinear \nproblem, which we solve by means of the Newton method. Emphasis is laid \non preconditioning strategy of the linear solver, which we perform by \nfactorizing a block Gauss-Seidel preconditioner in combination with \ncombination with parallel preconditioners for each of the single core \nmodels composing the integrated electromechanics model. We carry out \nseveral numerical simulations in the High Performance Computing \nframework for both idealized and patient-specific left ventricle \ngeometries and meshes, which we obtain by segmenting medical MRI images.\n We produce personalized pressure-volume loops by means of the \ncomputational procedure, which we use to synthetically interpret and \nanalyze the outputs of the electromechanics model. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>A. Gerbi, L. Dede&#8217;, A. Quarteroni Mathematics in Engineering, 2018, 1(1): 1-37 Open Access: https:\/\/www.aimspress.com\/article\/10.3934\/Mine.2018.1.1DOI: https:\/\/doi.org\/10.3934\/Mine.2018.1.1 Abstract: In this paper, we propose a monolithic algorithm for the numerical solution of the electromechanics model of the left ventricle in the human heart. Our coupled model integrates the monodomain equation with the [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":741,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[163],"tags":[],"class_list":["post-849","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articoli"],"_links":{"self":[{"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/posts\/849","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/comments?post=849"}],"version-history":[{"count":1,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/posts\/849\/revisions"}],"predecessor-version":[{"id":850,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/posts\/849\/revisions\/850"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/media\/741"}],"wp:attachment":[{"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/media?parent=849"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/categories?post=849"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/iheart.polimi.it\/en\/wp-json\/wp\/v2\/tags?post=849"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}